For mileage calculations I'm using the great circle calculation at
http://gc.kls2.com/ . This has proven to be pretty close to the actual mileage given by the airlines.
Q-points are easy to calculate as: flight miles * class of service multiplier. For business the class of service multiplier is 1.25. Thus, for 45,000 miles in business you'll get 56,250 Q-points.
Q-points and qualifying mileage resets to 0 on 1 January of each year. However, you will be PLT through February 2004 after your trip.
As
pegasus8228 mentioned, you could pick up a few more miles by going DFW-JFK-HKG instead of DFW-YVR-HKG.
You've done a good job in maximizing miles for a 3 continent RTW. Be sure to let us know how it turns out.